https://neckpinch.com/authors/dexie-lin/New arXiv papers by Dexie Lin, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2104.10945/arxiv:2104.10945Thu, 22 Apr 2021 00:00:00 GMTDexie Lin — In this paper, we introduce an entropy functional on Riemannian foliation, inspired by the work of , which is monotonically along the transverse Ricci flow. We relate their gradient flow, via diffeomorphism preserving the foliated structure of the manifold with Riemannian foliation, to the transverse Ricci flow. Moreover, inspired by the work of Fuquan Fang and Yuhao Zhang, we give a necessary condition for codimension 4 Riemannian foliation admitting the transverse Einstein metric.Ricci flowEinstein metrics4-manifolds